TSTP Solution File: SET900+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:49:04 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 10 00:50:26 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.34 % SZS status Theorem
% 0.12/0.34 % SZS output begin IncompleteProof
% 0.12/0.34 cnf(c0, axiom,
% 0.12/0.34 sK3 = X0 | ~in(X0,sK2)).
% 0.12/0.34 cnf(c1, plain,
% 0.12/0.34 sK3 = X0 | ~in(X0,sK2),
% 0.12/0.34 inference(start, [], [c0])).
% 0.12/0.34
% 0.12/0.34 cnf(c2, axiom,
% 0.12/0.34 sK4(X1,X2) != X2 | empty_set = X1 | singleton(X2) = X1).
% 0.12/0.34 cnf(a0, assumption,
% 0.12/0.34 sK4(X1,X2) = X0).
% 0.12/0.34 cnf(a1, assumption,
% 0.12/0.34 sK3 = X3).
% 0.12/0.34 cnf(c3, plain,
% 0.12/0.34 ~in(X0,sK2),
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34 cnf(c4, plain,
% 0.12/0.34 empty_set = X1 | singleton(X2) = X1,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34 cnf(c5, plain,
% 0.12/0.34 X3 != X2,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34
% 0.12/0.34 cnf(a2, assumption,
% 0.12/0.34 X3 = X2).
% 0.12/0.34 cnf(c6, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a2])], [c5])).
% 0.12/0.34
% 0.12/0.34 cnf(c7, axiom,
% 0.12/0.34 empty_set != sK2).
% 0.12/0.34 cnf(a3, assumption,
% 0.12/0.34 sK2 = X1).
% 0.12/0.34 cnf(a4, assumption,
% 0.12/0.34 empty_set = X4).
% 0.12/0.34 cnf(c8, plain,
% 0.12/0.34 singleton(X2) = X1,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c7])).
% 0.12/0.34 cnf(c9, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c7])).
% 0.12/0.34 cnf(c10, plain,
% 0.12/0.34 empty_set != X4,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c7])).
% 0.12/0.34
% 0.12/0.34 cnf(a5, assumption,
% 0.12/0.34 empty_set = X4).
% 0.12/0.34 cnf(c11, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a5])], [c10])).
% 0.12/0.34
% 0.12/0.34 cnf(c12, axiom,
% 0.12/0.34 sK2 != singleton(sK3)).
% 0.12/0.34 cnf(a6, assumption,
% 0.12/0.34 singleton(sK3) = singleton(X2)).
% 0.12/0.34 cnf(c13, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c8, c12])).
% 0.12/0.34 cnf(c14, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c8, c12])).
% 0.12/0.34 cnf(c15, plain,
% 0.12/0.34 sK2 != X1,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c8, c12])).
% 0.12/0.34
% 0.12/0.34 cnf(a7, assumption,
% 0.12/0.34 sK2 = X1).
% 0.12/0.34 cnf(c16, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a7])], [c15])).
% 0.12/0.34
% 0.12/0.34 cnf(c17, axiom,
% 0.12/0.34 in(sK4(X5,X6),X5) | empty_set = X5 | singleton(X6) = X5).
% 0.12/0.34 cnf(a8, assumption,
% 0.12/0.34 X0 = sK4(X5,X6)).
% 0.12/0.34 cnf(a9, assumption,
% 0.12/0.34 sK2 = X5).
% 0.12/0.34 cnf(c18, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8, a9])], [c3, c17])).
% 0.12/0.34 cnf(c19, plain,
% 0.12/0.34 empty_set = X5 | singleton(X6) = X5,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8, a9])], [c3, c17])).
% 0.12/0.34
% 0.12/0.34 cnf(c20, axiom,
% 0.12/0.34 empty_set != sK2).
% 0.12/0.34 cnf(a10, assumption,
% 0.12/0.34 sK2 = X5).
% 0.12/0.34 cnf(a11, assumption,
% 0.12/0.34 empty_set = X7).
% 0.12/0.34 cnf(c21, plain,
% 0.12/0.34 singleton(X6) = X5,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c19, c20])).
% 0.12/0.34 cnf(c22, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c19, c20])).
% 0.12/0.34 cnf(c23, plain,
% 0.12/0.34 empty_set != X7,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c19, c20])).
% 0.12/0.34
% 0.12/0.34 cnf(a12, assumption,
% 0.12/0.34 empty_set = X7).
% 0.12/0.34 cnf(c24, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a12])], [c23])).
% 0.12/0.34
% 0.12/0.34 cnf(c25, plain,
% 0.12/0.34 singleton(X2) != X1).
% 0.12/0.34 cnf(a13, assumption,
% 0.12/0.34 singleton(X2) = singleton(X6)).
% 0.12/0.34 cnf(c26, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(subterm_reduction, [assumptions([a13])], [c21, c25])).
% 0.12/0.34 cnf(c27, plain,
% 0.12/0.34 X5 != X1,
% 0.12/0.34 inference(subterm_reduction, [assumptions([a13])], [c21, c25])).
% 0.12/0.34
% 0.12/0.34 cnf(a14, assumption,
% 0.12/0.34 X5 = X1).
% 0.12/0.34 cnf(c28, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a14])], [c27])).
% 0.12/0.34
% 0.12/0.34 cnf(c29, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(constraint_solving, [
% 0.12/0.34 bind(X0, sK4(X1,X2)),
% 0.12/0.34 bind(X1, sK2),
% 0.12/0.34 bind(X2, sK3),
% 0.12/0.34 bind(X3, sK3),
% 0.12/0.34 bind(X4, empty_set),
% 0.12/0.34 bind(X5, sK2),
% 0.12/0.34 bind(X6, sK3),
% 0.12/0.34 bind(X7, empty_set)
% 0.12/0.34 ],
% 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 0.12/0.34
% 0.12/0.34 % SZS output end IncompleteProof
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